what about 1 Coordinate Axes for Rectangular
Spherical Shell Element
For the shown system of curvilinear
coordinates, the simplified strain displacement
relationship for the spherical shell elements Where u, v and w are the
displacements in the
x, y and z axes; y x å å , and xy å are the in-plane
direct and shearing strains; kx, ky, and kxy are the
changes in-direct and twisting curvatures and r is
the principal radii of curvatures.
The above six components of strain can be
considered independent, as they are a function of
the three displacements u, v and w and must satisfy
three additional compatibility equations.